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Volume 11
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10.3390/app11030956
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Article

Optimized Computation of Tight Focusing of Short Pulses Using Mapping to Periodic Space

by
Elena Panova
1,
Valentin Volokitin
1,2,
Evgeny Efimenko
3,
Julien Ferri
4,
Thomas Blackburn
4,
Mattias Marklund
4,
Alexander Muschet
5,
Aitor De Andres Gonzalez
5,
Peter Fischer
5,
Laszlo Veisz
5,
Iosif Meyerov
1,2,* and
Arkady Gonoskov
1,4,*
1
Department of Mathematical Software and Supercomputing Technologies, Lobachevsky State University of Nizhni Novgorod, 603950 Nizhny Novgorod, Russia
2
Mathematical Center, Lobachevsky State University of Nizhni Novgorod, 603950 Nizhny Novgorod, Russia
3
Institute of Applied Physics, Russian Academy of Sciences, 603950 Nizhny Novgorod, Russia
4
Department of Physics, University of Gothenburg, 41296 Gothenburg, Sweden
5
Department of Physics, Umeå University, 90187 Umeå, Sweden
*
Authors to whom correspondence should be addressed.
Appl. Sci. 2021, 11(3), 956; https://doi.org/10.3390/app11030956
Submission received: 28 December 2020 / Revised: 15 January 2021 / Accepted: 18 January 2021 / Published: 21 January 2021
(This article belongs to the Special Issue Ultra-Short Laser Pulses and its Application in Physics)
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Abstract

When a pulsed, few-cycle electromagnetic wave is focused by optics with f-number smaller than two, the frequency components it contains are focused to different regions of space, building up a complex electromagnetic field structure. Accurate numerical computation of this structure is essential for many applications such as the analysis, diagnostics, and control of high-intensity laser-matter interactions. However, straightforward use of finite-difference methods can impose unacceptably high demands on computational resources, owing to the necessity of resolving far-field and near-field zones at sufficiently high resolution to overcome numerical dispersion effects. Here, we present a procedure for fast computation of tight focusing by mapping a spherically curved far-field region to periodic space, where the field can be advanced by a dispersion-free spectral solver. In many cases of interest, the mapping reduces both run time and memory requirements by a factor of order 10, making it possible to carry out simulations on a desktop machine or a single node of a supercomputer. We provide an open-source C++ implementation with Python bindings and demonstrate its use for a desktop machine, where the routine provides the opportunity to use the resolution sufficient for handling the pulses with spectra spanning over several octaves. The described approach can facilitate the stability analysis of theoretical proposals, the studies based on statistical inferences, as well as the overall development and analysis of experiments with tightly-focused short laser pulses.
Keywords: laser-matter interaction; short laser pulses; tight focusing; numerical simulation; spectral solver; performance improvement laser-matter interaction; short laser pulses; tight focusing; numerical simulation; spectral solver; performance improvement

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MDPI and ACS Style

Panova, E.; Volokitin, V.; Efimenko, E.; Ferri, J.; Blackburn, T.; Marklund, M.; Muschet, A.; De Andres Gonzalez, A.; Fischer, P.; Veisz, L.; et al. Optimized Computation of Tight Focusing of Short Pulses Using Mapping to Periodic Space. Appl. Sci. 2021, 11, 956. https://doi.org/10.3390/app11030956

AMA Style

Panova E, Volokitin V, Efimenko E, Ferri J, Blackburn T, Marklund M, Muschet A, De Andres Gonzalez A, Fischer P, Veisz L, et al. Optimized Computation of Tight Focusing of Short Pulses Using Mapping to Periodic Space. Applied Sciences. 2021; 11(3):956. https://doi.org/10.3390/app11030956

Chicago/Turabian Style

Panova, Elena, Valentin Volokitin, Evgeny Efimenko, Julien Ferri, Thomas Blackburn, Mattias Marklund, Alexander Muschet, Aitor De Andres Gonzalez, Peter Fischer, Laszlo Veisz, and et al. 2021. "Optimized Computation of Tight Focusing of Short Pulses Using Mapping to Periodic Space" Applied Sciences 11, no. 3: 956. https://doi.org/10.3390/app11030956

APA Style

Panova, E., Volokitin, V., Efimenko, E., Ferri, J., Blackburn, T., Marklund, M., Muschet, A., De Andres Gonzalez, A., Fischer, P., Veisz, L., Meyerov, I., & Gonoskov, A. (2021). Optimized Computation of Tight Focusing of Short Pulses Using Mapping to Periodic Space. Applied Sciences, 11(3), 956. https://doi.org/10.3390/app11030956

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